Systematization of wavelet transforms
Numerical methods and programming, Tome 2 (2001) no. 3, pp. 15-40
Cet article a éte moissonné depuis la source Math-Net.Ru
This paper is an attempt to systemize some frequently used variants of wavelet transforms. The following classification features are proposed: a type of input signals (discrete or continuous); a dimension of signals; the presence of redundant information; the norm preservation, etc. Various kinds of representations used for wavelet transforms and several methods used commonly for processing the signals defined on bounded intervals are introduced and compared.
Keywords:
wavelet transforms, signal processing, image processing, numerical methods, fast transforms.
@article{VMP_2001_2_3_a2,
author = {A. V. Pereberin},
title = {Systematization of wavelet transforms},
journal = {Numerical methods and programming},
pages = {15--40},
year = {2001},
volume = {2},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a2/}
}
A. V. Pereberin. Systematization of wavelet transforms. Numerical methods and programming, Tome 2 (2001) no. 3, pp. 15-40. http://geodesic.mathdoc.fr/item/VMP_2001_2_3_a2/